A trapezoidal channel is required to carry $6\text{m}^3\text{/sec}$ o…

Previous year question for Fluid Machinery.

Question

A trapezoidal channel is required to carry $6\text{m}^3\text{/sec}$ of water at a velocity of $1.5\text{m/s}$. Find the most economical cross-section if the channel has side slopes 1 vertical to 2 horizontal. For the same discharge what saving in power would result if this trapezoidal section is replace by rectangular section $1.5\text{m}$ deep and $3\text{m}$ wide? Use C = 55. In Chezy formula.

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